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From: Ada novice <shai.lesh@gmx.com>
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Subject: Re: ANN: Ada 2005 Math Extensions 20120712
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Date: 2012-07-29T07:34:34-07:00
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On Sunday, July 29, 2012 3:22:46 PM UTC+1, Nasser M. Abbasi wrote:
>=20
> It is the other way around.
>=20

Yes I know about eigenvalues and stability in the complex plane. This is wh=
y I said that something would have been terribly wrong if Debian lapack and=
 ACML were not agreeing on the eigenvalues.

Yes eigenvectors show just the relatives maginitudes between DOFs as for ex=
ample in vibrations. So as you say, scaling is not an issue. A beam can eit=
her bend upwards or downwards in its banana first mode shape and so a multi=
plication with a scalar value say of -1 does not affect the relative magnit=
udes between the different DOFs and we have the same information regarding =
the mode shape of the beam.

What I meant with the eigenvectors is that there are different ways of norm=
alising. Normally the total length of an eigenvector is scaled to unity. Di=
fferent normalisations exist also.

YC